A Parasail rider wants to reach the maximum height allowed by the Federal Aviation administration... A Parasail rider wants to reach the maximum height allowed by the Federal Aviation administration if the rider’s boat is to tow the parachute at 30 miles per hour. How should the tow to reach the maximum flying height? A. Draw and label a diagram to represent this situation. B. Explain two different methods to solving this problems Method 1: Method 2: C. Find the length of the tow line using both methods from part (b) Write a “ rule of thumb” that does not require trigonometry for calculating the maximum height of a parasail rider given the length of the tow line?

A spring-loaded gun fires a 0.080-kg puck along a tabletop. The puck slides up a curved ramp and flies straight up into the air.

(a) If the spring is displaced 24.0 cm from equilibrium and the spring constant is 875 N/m, how high does the puck rise, neglecting friction?

x = m

(b) If instead it only rises to a height of 5.00 m because of friction, what is the change in mechanical energy?
W_nc =

A positive charge 1.1X10^-11 C is located 10^-2 m away from a negative charge of the same magnitude. Point P is exactly half way between them --what is the E field at point P?

In a rectangular coordinate system, a positive point charge q = 8.00 nC is placed at the point x = +0.150 m, y = 0, and an identical point charge is placed at x = -0.150 m, y = 0. Find the electric field at the following points.

a. Find the x and y components of the electric field at x = 0.150 m, y = -0.400 m. (Units N/C)

b. Find the magnitude of the electric field at x = 0.150 m, y = -0.400 m. (Units N/C)

c. Find the direction of the electric field at x = 0.150 m, y = -0.400 m. (Units degrees)

A) The resistivity of blood is related to its hematocrit, the volume fraction of red blood cells in the blood. A commonly used equation relating the hematocrit h to the blood resistivity ρ (in Ω⋅m) is ρ=1.32/(1−h)−0.79. In one experiment, blood filled a graduated cylinder with an inner diameter of 0.90 cm. The resistance of the blood between the 1.0 cm and 2.0 cm marks of the cylinder was measured to be 246 Ω. What was the hematocrit for this blood?

B) When the starter motor on a car is engaged, there is a 310 AA current in the wires between the battery and the motor. Suppose the wires are made of copper and have a total length of 1.2 mm . What minimum diameter can the wires have if the voltage drop along the wires is to be less than 0.60 VV ? Express your answer in millimeters.

C) Variations in the resistivity of blood can give valuable clues to changes in the blood's viscosity and other properties. The resistivity is measured by applying a small potential difference and measuring the current. Suppose a medical device attaches electrodes into a 1.5-mmmm-diameter vein at two points 5.0 cmcm apart. What is the blood resistivity if a 8.8 VV potential difference causes a 220 μAμA current through the blood in the vein? Express your answer in ohm meters.

A flint glass plate (n = 1.66) rests on the bottom of an aquarium tank. The plate is 10.00 cm thick (vertical dimension) and covered with water (n = 1.33) to a depth of 12.3 cm. Calculate the apparent thickness of the plate as viewed from above the water. (Assume nearly normal incidence of light rays.)

A sample of ideal gas is placed inside a balloon at room temperature. The balloon is then put inside a freezer, where it deflates without losing any of the gas inside it. The system is the gas inside the balloon.

I - Represent this process with a PV diagram.

II - Was the change in internal energy of the system, positive, negative, or zero? How do you know?

III - Was the work done by the atmosphere on the system positive, negative, or zero? How do you know?

IV - Was the energy supplied to the system by heating positive, negative, or zero? How do you know?

V - Represent this process with a work-energy bar chart.

A cylinder, which is in a horizontal position, contains an unknown noble gas at 48400 Pa and is sealed with a massless piston. The piston is slowly, isobarically moved inward 18.9 cm, which removes 18600 J of heat from the gas. If the piston has a radius of 27.2 cm, calculate the change in the internal energy of the system Δ U

Chose the right answer

a) If we decrease the size of a quantum dot that contains an electron, what happens to the energy levels?

1-Decrease

2-remain the same

3-increase

b) If two quantum states are degenerate, which is true?

1- They have identical momenta.

2- They have identical wave functions

3- They have identical energies

C) Which is true about the electron in a hydrogen atom?

1-Its total energy and potential energy are negative

2-Its kinetic energy and potential energy are negative

3-Its total energy and kinetic energy are negative.

d) Which quantum number determines the energy of the hydrogen atom?

1- orbital quantum number

2- principal quantum number

3- orbital magnetic quantum number

The most basic explanation for the Heisenberg Uncertainty Principle is that the momentum and position of a quantum particle is not very distinct when an attempt is made to measure them together. But what is it that causes the uncertainty? Because if there is no change in the momentum, then it would be the same as measuring the two separately. So what causes this change in the instantaneous perceived momentum. A change in mass? Velocity? Or net composition of the particle?

A 150-V battery is connected across two parallel metal plates of area 28.5 cm² and a separation of 8.20 mm. A beam of alpha particles (charge +2e, mass 6.64E-27 kg) is accelerated from rest through a potential difference of 1.75 kV and enters the region between the plates perpendicular to the electric field.

What magnitude and direction of magnetic field are needed so that the alpha particles emerge undeflected from between the plates?

A boxed 15.0 kg computer monitor is dragged by friction 6.50 m up along the moving surface of a conveyor belt inclined at an angle of 36.8 ∘ above the horizontal. If the monitor's speed is a constant 3.00 cm/s , how much work is done on the monitor by friction, gravity, and the normal force of the conveyor belt?

Wfriction =

Wgravity =

WN =

3) A piece of metal with a mass of 3.8 kg and density of 1808 kg/m3 is suspended from a string and then completely immersed in a container of water. The density of water is 1000 kg/m3 .
(a) Determine the volume of the piece of metal.
(b) Determine the tension in the string after the metal is immersed in the container of water.

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A skydiver, weighing 180 lb (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.75|v| when the parachute is closed and is of magnitude 10|v| when the parachute is open, where the velocity v is measured in ft/s. (A computer algebra system is recommended. Use g = 32 ft/s2 for the acceleration due to gravity. Round your answers to two decimal places.)

(a) Find the speed of the skydiver when the parachute opens.

(b) Find the distance fallen before the parachute opens.

(c) What is the limiting velocity v_L after the parachute opens?

(d) Determine how long the sky diver is in the air after the parachute opens.

e) Plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.

Suppose that a car oscillates vertically as if it were a mass of m = 800 kg on a single spring with spring constant k = 7 × 104 N/m which is attached to a single damper with c = 3000 N·s/m. Suppose that this car is driven along a sinusoidal road surface with an amplitude of 5 cm and a wavelength of L = 10 m.

1.Write the non-homogeneous ODE that governs the vertical motion of the car. (Make sure to keep track of units).

2. Find the steady-state amplitude of vibration of the car as a function of the horizontal driving speed v (m/s).

3. At what driving speed vm will the greatest amplitude of vertical vibrations occur?

4. If the driver would prefer that the car oscillates with a lower amplitude than that of the underlying road surface (i.e. A < 5 cm), in what range of speeds must they drive?